A Prey-Predator Model with Michael Mentence Type of Predator Harvesting and Infectious Disease in Prey

Hiba Abdullah Ibrahim; Raid Kamel  Naji

doi:10.24996/ijs.2020.61.5.23

A Prey-Predator Model with Michael Mentence Type of Predator Harvesting and Infectious Disease in Prey

Authors

Hiba Abdullah Ibrahim Department of the mathematics, College of Science, University of Baghdad, Baghdad, IRAQ
Raid Kamel Naji Department of the mathematics, College of Science, University of Baghdad, Baghdad, IRAQ

DOI:

https://doi.org/10.24996/ijs.2020.61.5.23

Keywords:

Prey-predator, Predator harvesting, Disease; Stability, Bifurcation

Abstract

A prey-predator model with Michael Mentence type of predator harvesting and infectious disease in prey is studied. The existence, uniqueness and boundedness of the solution of the model are investigated. The dynamical behavior of the system is studied locally as well as globally. The persistence conditions of the system are established. Local bifurcation near each of the equilibrium points is investigated. Finally, numerical simulations are given to show our obtained analytical results.

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Published

2020-05-28

Issue

Vol 61 No 5 (2020)

Section

Mathematics

How to Cite

A Prey-Predator Model with Michael Mentence Type of Predator Harvesting and Infectious Disease in Prey. (2020). Iraqi Journal of Science, 61(5), 1146-1163. https://doi.org/10.24996/ijs.2020.61.5.23